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202121322013002 = 23719137393772091
BaseRepresentation
bin101101111101010000001001…
…100110011010000101001010
3222111122121110110020201221110
4231331100021212122011022
5202443023431413404002
61553513130430151150
760400532532030360
oct5575201146320512
9874577413221843
10202121322013002
1159447197a91187
121a8045719524b6
1388a1c60882012
1437caa1d22b630
15185798d10ee6c
hexb7d40999a14a

202121322013002 has 128 divisors (see below), whose sum is σ = 466158895792128. Its totient is φ = 57230647718400.

The previous prime is 202121322012983. The next prime is 202121322013003. The reversal of 202121322013002 is 200310223121202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 202121322013002.

It is not an unprimeable number, because it can be changed into a prime (202121322013003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2803660977 + ... + 2803733067.

It is an arithmetic number, because the mean of its divisors is an integer number (3641866373376).

Almost surely, 2202121322013002 is an apocalyptic number.

202121322013002 is an abundant number, since it is smaller than the sum of its proper divisors (264037573779126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202121322013002 is a wasteful number, since it uses less digits than its factorization.

202121322013002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73604.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 202121322013002 its reverse (200310223121202), we get a palindrome (402431545134204).

The spelling of 202121322013002 in words is "two hundred two trillion, one hundred twenty-one billion, three hundred twenty-two million, thirteen thousand, two".

Divisors: 1 2 3 6 7 14 21 42 191 373 382 573 746 937 1119 1146 1337 1874 2238 2611 2674 2811 4011 5222 5622 6559 7833 8022 13118 15666 19677 39354 71243 72091 142486 144182 178967 213729 216273 349501 357934 427458 432546 498701 504637 536901 699002 997402 1009274 1048503 1073802 1252769 1496103 1513911 2097006 2446507 2505538 2992206 3027822 3758307 4893014 7339521 7516614 13769381 14679042 26889943 27538762 41308143 53779886 66754691 67549267 80669829 82616286 96385667 133509382 135098534 161339658 188229601 192771334 200264073 202647801 289157001 376459202 400528146 405295602 467282837 472844869 564688803 578314002 934565674 945689738 1129377606 1401848511 1418534607 2803697022 2837069214 5135979113 10271958226 12901909997 15407937339 25195876591 25803819994 30815874678 35951853791 38705729991 50391753182 71903707582 75587629773 77411459982 90313369979 107855561373 151175259546 176371136137 180626739958 215711122746 270940109937 352742272274 529113408411 541880219874 1058226816822 4812412428881 9624824857762 14437237286643 28874474573286 33686887002167 67373774004334 101060661006501 202121322013002